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Finding the Fourth Proportional to 2,932.16, 4,395.54 and 1,082.84

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Solution

The fourth proportional to 2,932.16, 4,395.54 and 1,082.84 is: 1,623.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932.16 : 4,395.54 = 1,082.84 : x
  2. Step 2: Convert to fraction form
    2,932.16/4,395.54 = 1,082.84/x
  3. Step 3: Cross multiply
    2,932.16x = 4,395.54 × 1,082.84
  4. Step 4: Simplify right side
    2,932.16x = 4,759,666.53
  5. Step 5: Solve for x
    x = 4,759,666.53/2,932.16
  6. Step 6: Final answer
    x = 1,623.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.